State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest. Ho M₁ M₂ = 0, Ha : μ₁ − M₂ > 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream. Ho M₁ M₂ = 0, H₁ : µ₁ − µ₂ < 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₁ = the true mean time it takes for female students to eat a small cup of ice cream. Ho M₁ M₂ #0, H₁ : μ₁ − μ₂ = 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream. Ho : μ₁ −μ₂ = 0, Ha : µ₁ − µ₂ ‡ 0, where µ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream.

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For a statistics class project, Jonathan and Crystal held an ice-cream-eating contest. They randomly selected 29 males and 35
females from their large high school to participate. Each student was given a small cup of ice cream and instructed to eat it as
fast as possible. Jonathan and Crystal then recorded each contestant's gender and time (in seconds), as shown in the dotplots.
:
●
Male
Female
15
75
90
105
30 45 60
Time to eat ice cream (sec)
Do these data give convincing evidence of a difference in the population means at the a = 0.10 significance level?
State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest.
=
Ho: M1
M2 = 0, Ha M₁ −μ₂ > 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice
cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream.
Ho: M1
- M₂ = 0, Ha M₁ M₂ < 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice
cream and μ₁
=
the true mean time it takes for female students to eat a small cup of ice cream.
= the true mean time it takes male students to eat a small cup of ice
Ho: M₁
- M₂ ‡ 0, Ha : μ₁ −μ₂ = 0, where μ1 =
cream and μ2
=
the true mean time it takes for female students to eat a small cup of ice cream.
Ho: M1
- M₂ = 0, Ha : μ₁ − μ₂ ‡ 0, where μ1 = = the true mean time it takes male students to eat a small cup of ice
cream and μ2 the true mean time it takes for female students to eat a small cup of ice cream.
Gender
Transcribed Image Text:For a statistics class project, Jonathan and Crystal held an ice-cream-eating contest. They randomly selected 29 males and 35 females from their large high school to participate. Each student was given a small cup of ice cream and instructed to eat it as fast as possible. Jonathan and Crystal then recorded each contestant's gender and time (in seconds), as shown in the dotplots. : ● Male Female 15 75 90 105 30 45 60 Time to eat ice cream (sec) Do these data give convincing evidence of a difference in the population means at the a = 0.10 significance level? State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest. = Ho: M1 M2 = 0, Ha M₁ −μ₂ > 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream. Ho: M1 - M₂ = 0, Ha M₁ M₂ < 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₁ = the true mean time it takes for female students to eat a small cup of ice cream. = the true mean time it takes male students to eat a small cup of ice Ho: M₁ - M₂ ‡ 0, Ha : μ₁ −μ₂ = 0, where μ1 = cream and μ2 = the true mean time it takes for female students to eat a small cup of ice cream. Ho: M1 - M₂ = 0, Ha : μ₁ − μ₂ ‡ 0, where μ1 = = the true mean time it takes male students to eat a small cup of ice cream and μ2 the true mean time it takes for female students to eat a small cup of ice cream. Gender
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